This applet shows how elements of the free commutative monoid
on two generators generate a submonoid.
Some notes on the applet itself:
- The colors of the generators, newly generated elements and
previously generated elements can be specified as applet parameters.
- The grid can be resized by dragging the right hand border,
bottom border, or the bottom right corner.
- The size specified for the applet in the HTML page determines
the maximum grid size.
- Many grid features (colors, spacing, etc) can be changed.
Another version of this applet, using separate grids for
the generators and the generated monoid, can be found
here. It is not as complete as this applet
since the one grid approach seems to me to be much better.
Comments? Thanks.